Question

In: Physics

Please provide a 250 word explanation AND DESCRIPTION OF A REAL WORLD APPLICATION of one of...

Please provide a 250 word explanation AND DESCRIPTION OF A REAL WORLD APPLICATION of one of the following topics:

-ideal gases or the ideal gas law

-the gas constant or the Boltzmann constant

-the root mean square speed of molecules in a gas

-molar specific heat

-the mean free path of a gas molecule

Please be descriptive and include example equations if possible. If post meets requirements of 250 words, explanation of theory, AND A REAL WORLD APPLICATION, I will promptly thumbs up. Thank you!

Solutions

Expert Solution

Answer:

Let us go to the basics first.

Ideal gases or the ideal gas law:

Ideal gases: An ideal gas is a theoretical gas composed of many randomly moving point particles whose only interactions are perfectly elastic collisions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.

Real world application of Ideal gas:

In most usual conditions (for instance at standard temperature and pressure), most real gases behave qualitatively like an ideal gas. Many gases such as nitrogen, oxygen, hydrogen, noble gases, and some heavier gases like carbon dioxide can be treated like ideal gases within reasonable tolerances.

Generally, in real world applications, a gas behaves more like an ideal gas at higher temperature and lower pressure, as the potential energy due to intermolecular forces becomes less significant compared with the particles' kinetic energy, and the size of the molecules becomes less significant compared to the empty space between them.

Ideal gas law:

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. The ideal gas law is often written as

PV = nRT

where P = pressure

V = volume

n = number of moles

R = Gas constant

T = temperature

In plain English, this means that for a given amount of gas, the temperature goes up as the gas is compressed into a smaller volume, and the temperature goes down as the gas is allowed to expand into a larger volume.

Real world application of Ideal gas law:

Ideal gas law allows us to design refrigerators and air conditioners :

Coolant gas is compressed, causing its temperature to increase. The hot gas is passed through a radiator, allowing excess heat to escape, and then the gas is allowed to expand into the refrigerator. As it expands, it cools off, and heat is drawn from the interior of the refrigerator.

Thanks!!!


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